Download Math 1231—Fall 2012 Review Sheet for Exam #1 THIS IS NOT

Math 1231—Fall 2012
Review Sheet for Exam #1
THIS IS NOT NECESSARILY A COMPLETE LIST OF TOPICS TO APPEAR ON THE EXAM!
The list below is intended to highlight the important topics that have been covered so far in the course.
However, any problem or topic that has been covered during lecture, on homework, or in the reading is
considered a fair question on the exam, with specific exceptions listed below.
You will need your computer during the exam, with JMP installed and ready to run. You will need a
calculator for the exam. You may use a handheld calculator or the standard calculation program on your
computer. The calculator is used for basic arithmetic only.
You may not use your textbook, notes, or any other sources during the exam. You may not use any
software other than JMP and the standard Calculator program.
To review for the exam, you should at minimum review all three chapters, and pay attention to the
“Basic Skills and Concepts” at the end of each section and “Review” and “Chapter Quick Quiz” at the
end of each chapter. The homework exercises should give you a rough idea of the type of questions
and material you will see on the exam. Exam questions will be worded in such a way as to have a clear,
unambiguous answer. NOT EVERY EXAM QUESTION WILL LOOK LIKE THE QUESTIONS
FROM THE HOMEWORK!
Definitions/Concepts you should be familiar with:
 Sample vs. Population, Parameter vs. Statistic
 Categorical vs. Quantitative data
 Levels of Measurement (Nominal, Ordinal, Interval, Ratio)
 Biased Samples: Voluntary Response, Convenience Sample
 Good Samples: Simple Random Sample, Random Sample, Stratified Sample, Cluster Sample
 Frequency Distribution, Relative Frequency, Cumulative Frequency
 Histograms and Boxplots (in particular, how to read them)
 Measures of Center: Mean, Median, Mode
 Measures of Variation: Range, Standard Deviation, Variance, Percentiles, Quartiles, IQR
 Shape of distribution: Skewed, Symmetrical; Relation to Mean and Median
 The Five-Number Summary
 The 68-95-99.7 rule for Normal distributions
 Standardized scores (z-scores), cumulative proportions
Things you should be able to do:
 In a given scenario, determine the sample and population, and distinguish between statistics and
parameter.
 Given a description of how data is collected, identify the type of sample. Determine if the
sample is biased.
 Define “Simple Random Sample.”
 Decide whether given data is Categorical or Quantitative, and identify the level of
measurement.
 Given a frequency table or bar graph, answer questions about the distribution of categorical
data. Determine the proportion and/or percent of individuals in a given category.
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Given a histogram, answer questions about the distribution of categorical data. Given a range of
values, determine the number or percent of individuals whose value is in that range.
Compute z-scores given the mean and standard deviation of a given variable.
Use z-scores to compare data from two different distributions.
JMP:
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Construct a bar graph (categorical data) or histogram (quantitative data).
Find the mode(s) for categorical data.
For quantitative data, find the five-number summary (median, quartiles, min/max), IQR, mean,
and standard deviation.
Identify outliers using the Outlier Box Plot.
Material that will not be tested on this exam:
 Types of studies/experiments (section 1-5)
 Constructing a frequency distribution by hand (2-1)
 Frequency Polygon, Ogive, Dotplot, Pareto Plot, Scatterplot, Time-series plot (2-4)
 Range rule of thumb for s (pg. 104-105)
 Chebyshev’s Theorem (3-3)
 Manual calculation (without JMP) and/or formulas for any of the following:
o Making a frequency table, histogram, or boxplot
o Mean, median, mode
o Standard Deviation, Variance, Quartiles
o Conversion between Percentiles and data values